# Calculation of the degree of Dissociation

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Abnormal molecular mass and Van’t Hoff factor, Calculation of the degree of Dissociation, Colligative Properties, solutions

### Calculation of the degree of Dissociation

When an electrolyte is dissolved in a solvent, it dissociates into ions. The fraction of the total number of electrolyte molecules that undergoes dissociation is called **degree of dissociation (α)**.

\( \alpha =\frac{Number~of~moles~dissociated}{Total~number~of~moles~taken} \)

Observed colligative property **= (1-α)+nα = 1+(n-1)α**

Calculated colligative property **= 1**

\( i=\frac{C_{o}}{C_{c}}=\frac{1+(n-1)\alpha }{1}~~OR~~\alpha =\frac{i-1}{n-1} \)

As we know that, \( i=\frac{M_{c}}{M_{o}} \)

\( \therefore~~ \alpha =\frac{\frac{M_{c}}{M_{o}}-1}{n-1}=\frac{M_{c}-M_{o}}{M_{o}(n-1)} \)

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